Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728ez |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-66767597568 = -1 · 212 · 35 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,951,-4905] |
[a1,a2,a3,a4,a6] |
Generators |
[33:252:1] |
Generators of the group modulo torsion |
j |
23197894208/16300683 |
j-invariant |
L |
6.1827648767915 |
L(r)(E,1)/r! |
Ω |
0.62081451052832 |
Real period |
R |
0.99591178555146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728de2 24864r1 |
Quadratic twists by: -4 8 |